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Finding the Fourth Proportional to 10,169, 15,253.59 and 4,013

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Solution

The fourth proportional to 10,169, 15,253.59 and 4,013 is: 6,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169 : 15,253.59 = 4,013 : x
  2. Step 2: Convert to fraction form
    10,169/15,253.59 = 4,013/x
  3. Step 3: Cross multiply
    10,169x = 15,253.59 × 4,013
  4. Step 4: Simplify right side
    10,169x = 61,212,656.67
  5. Step 5: Solve for x
    x = 61,212,656.67/10,169
  6. Step 6: Final answer
    x = 6,019.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.